Fundamental Principles of the Cosine Rule

Fundamental Principles of the Cosine Rule

Secondary 3

In the diagram, \(BCD\) is a straight line. \(BC=10\) cm, \(AC=6\) cm and \(\cos \angle ACD = -\frac{11}{24}\).

Find

  1. the value of \(\cos \angle ACB\),
  2. the value of \(x\),
  3. \(\angle BAC\).

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Answer:(i) \(\frac{11}{24}\) (ii) \(9\text{ cm}\) (iii) \(80.9^\circ\)

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